Cyclotomic expansion of exceptional spectral measures
classification
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measurescircularspectralcertaincombinationscyclotomicdegreedensity
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We find explicit formulae for the circular spectral measures of $E_7,E_8$. This leads to a number of general observations regarding the ADE circular measures: these are linear combinations of measures supported by the roots of unity, with real density given by certain degree 3 polynomials.
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